A relaxation approximation of the incompressible Navier-Stokes system

Hongli Wang^a,*, Huimin Liu^b

ABSTRACT: In this article, we consider a hyperbolic singular perturbation of the incompressible Navier-Stokes equations in a d-dimensional unit periodic square. For well-prepared periodic initial data, we give a rigorous justification of the diffusion relaxation limit towards the Navier-Stokes equations by using the energy method.

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^a	College of Mathematics and Information Science, North China University of Water Resources and Electric Power, Zhengzhou 450011, China
^b	General Subjects Department, Zhengzhou Chenggong University of Finance and Economics, Zhengzhou 451200, China

* Corresponding author, E-mail: wanghongli@ncwu.edu.cn

Received 17 May 2012, Accepted 20 Mar 2013

A relaxation approximation of the incompressible Navier-Stokes system

Hongli Wanga,*, Huimin Liub

Hongli Wang^a,*, Huimin Liu^b